Patriarchy before the Fall?

In a recent article Aaron P. Mize (a minister serving as a pastor of an OPC congregation) writes (link to article):

Scripture never presents patriarchy as the created or redeemed norm. It is a feature of the fallen world Christ overturns, not a structure he institutes.

Later in the article, he writes:

Patriarchy appears nowhere in the pre-fall order.  

I suppose, of course, this depends on what you mean by "Partriarchy". The word "patriarchy" has been loaded with a lot of baggage in recent decades.  However, inspired by the Holy Spirit, the Apostle Paul wrote:

1 Corinthians 11:7-9 For a man indeed ought not to cover [his] head, forasmuch as he is the image and glory of God: but the woman is the glory of the man. For the man is not of the woman; but the woman of the man. Neither was the man created for the woman; but the woman for the man.

Mize seems to believe that a male/female authority relations are somehow only a result of the fall, and consequently something that is being or will be overturned by redemption.  For example, Mize writes:

When God creates humankind male and female in his image, he communicates shared dominion and fellowship—not subordination of one to the other.

This sentence immediately precedes the section heading "Creation: Mutual Dominion, Not Male Rule." Mize goes on to argue (the emphasis and signal are Mize's):

The divine commission in Genesis 1:26–28 is joint: “Let them have dominion” (emphasis added). Both man and woman bear God’s image, both receive the mandate, both share the blessing.

Of course, the antecedent of "them" in vs. 26 is אָדָם (adam, man), and the blessing in verse 28, while also plural, includes being fruitful and multiplying, which is something performed by the female, as well as replenishing and subduing the earth, which is something performed by the male.  While this division might not be immediately obvious from 1:26-28, it becomes apparent when the curse affects the woman's reproduction (Genesis 3:16) and the man's cultivation (Genesis 3:17).

Likewise, of course, women don't multiply on their own, and there is no reason to suppose that women cannot participate alongside men in earth's cultivation, even if that is not their primary calling.  Moreover, surely the creation is under the joint rule of humanity, including men, women, and children, not solely under the rule of men.  

The question is, how can Mize's view be squared with 1 Corinthians 11?  Unfortunately for the reader, Mize does not engage this important text.  1 Corinthians 11 argues for male headship from the creation order.  Moreover, 1 Corinthians 11 is supported by Genesis.

Genesis 2:18 18 And the LORD God said, [It is] not good that the man should be alone; I will make him an help meet for him.

Regarding this verse, Mize expresses his opinion thus:

Genesis 2 deepens the picture by portraying the woman as the כְּנֶגְדּוֹ עֵזֶר (ʿēzer kenegdô), “a helper corresponding to him.” The term עֵזֶר (ʿēzer) is most often used of God himself as Israel’s helper (Deut. 33:29; Ps. 33:20). It conveys strength and partnership, not subordination. 

The strength of Mize's argument here is that the term 'ezer does refer to the help or assistance itself or a person who helps or aids another person.  However, that term does not in itself convey any suggestion that the person is subordinate to the other.  As Mize observes, the majority of the uses are references to God helping humans, but it would be absurd to suppose that God is subordinate to humans.

The weakness of Mize's argument here is that God was not created for the purpose of helping man.  Moreover, consider the incarnation.  Although the Logos was in no way our subordinate, when Jesus was incarnated he took on the position of a servant:

Matthew 20:25-28 But Jesus called them [unto him], and said, Ye know that the princes of the Gentiles exercise dominion over them, and they that are great exercise authority upon them. But it shall not be so among you: but whosoever will be great among you, let him be your minister; And whosoever will be chief among you, let him be your servant: Even as the Son of man came not to be ministered unto, but to minister, and to give his life a ransom for many.

Paul explains it this way:

Phillippians 2:5-8 Let this mind be in you, which was also in Christ Jesus: Who, being in the form of God, thought it not robbery to be equal with God: But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men: And being found in fashion as a man, he humbled himself, and became obedient unto death, even the death of the cross.

A full-orbed Christology includes both the humiliation and exaltation of Christ.  Christ took on a position of service, and we should not feel ashamed to serve others.

The incarnation, however, differs from the Creation of mankind.  In the creation of mankind, Adam was first created, and then God created the woman specifically for the purpose of aiding the man.  That is not TurretinFan's argument: that's Paul's argument in 1 Corinthians 11.